Curtayne said one way to increase interest would be a boost to the bonus scheme. "A one for 10 would really get people excited."
Mighty River's bonus scheme was one share for every 25 up to a maximum of 200 bonus shares if people held onto the shares for at least two years.
The scheme received a lukewarm response from the investment community with many saying it was not enough to entice people to buy.
Curtayne said another option was to split the share offer for Meridian in two and sell off the chunks separately with a three-month break in between. But he said this would add more costs and create an overhang on the share price as investors anticipated the second round.
Market commentators have pointed to the success of Mighty River's shares as a driver for attracting retail investors to Meridian.
But that may be a challenging prospect if yesterday's share performance was anything to go by. Mighty River shares dipped to $2.48 in late afternoon trading, falling below the $2.50 issue price. They closed on $2.49.
Brokers said it was not unusual for a stock to dip below its issue price in the initial phases.
But others suggested filling the retail demand for Meridian would not be that hard.
One source said some high net worth investors had not participated in the Mighty River offer because they believed they would not get enough stock to "make it worth it".
Analysts will be closely watching Meridian's full-year result, due in mid-August, for an indication on the performance and value of the company, which is widely expected to float in October.